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Chapter 8: Q29. (page 415)

Find the distance between the pair of points with the given coordinates 2.3,-1.2and-4.5,3.7.

Short Answer

Expert verified

The distance between the given pair of points is8.38units.

Step by step solution

01

Step 1. Write down the given information.

The given pair of points have coordinates 2.3,-1.2and-4.5,3.7.

02

Step 2. Concept used.

If a line segment has end-points at x1,y1andx2,y2then the distance d between these points is given as:

d=x2-x12+y2-y12....1

03

Step 3. Calculation.

The distance dbetween the pair of points with given coordinates 2.3,-1.2and-4.5,3.7is evaluated using the formula (1) stated above.

d=x2鈭�x12+y2鈭�y12=鈭�4.5鈭�2.32+3.7+1.22=鈭�6.82+4.92=8.38units....Approx.
04

Step 4. Conclusion.

The distance between the given pair of points is 8.38units.

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